Greatest Common Factor of 9537 and 9543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9537, 9543 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9537 and 9543 is 3.

GCF(9537,9543) = 3

GCF of 9537 and 9543

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9537 and 9543

GCF of 9537 and 9543 is 3

Prime Factorization of 9537


3 9537
11 3179
17 289
17 17
1

Prime factors of 9537 are 3,11,17. Prime factorization of 9537 in exponential form is:

9537 = 31×111×172

Prime Factorization of 9543


3 9543
3181 3181
1

Prime factors of 9543 are 3,3181. Prime factorization of 9543 in exponential form is:

9543 = 31×31811

∴ So by taking common prime factors GCF of 9537 and 9543 is 3

Greatest Common Factor of 9537 and 9543 by matching factors method

Factors of 9537

List of positive integer factors of 9537 that divides 9537 without a remainder.

1,3,11,17,33,51,187,289,561,867,3179,9537

Factors of 9543

List of positive integer factors of 9543 that divides 9543 without a remainder.

1,3,3181,9543

Greatest Common Factor

We found the factors and prime factorization of 9537 and 9543. The biggest common factor number is the GCF number.
So the greatest common factor 9537 and 9543 is 3.

Also check out the Least Common Multiple of 9537 and 9543

Properties of GCF 9537 and 9543

(i) The GCF of 9537 and 9543 is associative

GCF of 9537 and 9543 = GCF of 9543 and 9537

Related Greatest Common Factor of 9537

Related Greatest Common Factor of 9543

Frequently Asked Questions on GCF of 9537 and 9543

1. What is the GCF of 9537 and 9543?

Answer: GCF of 9537 and 9543 is 3.

2. What are the Factors of 9537?

Answer: Factors of 9537 are 1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537. There are 12 integers that are factors of 9537. The greatest factor of 9537 is 9537.

3. What are the Factors of 9543?

Answer: Factors of 9543 are 1, 3, 3181, 9543. There are 4 integers that are factors of 9543. The greatest factor of 9543 is 9543.

4. How to Find the GCF of 9537 and 9543?

Answer:

Greatest Common Factor of 9537 and 9543 = 3

Step 1: Find the prime factorization of 9537

9537 = 3 x 11 x 17 x 17

Step 2: Find the prime factorization of 9543

9543 = 3 x 3181

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9537 and 9543 is 3